Sentence examples for be a fixed element from inspiring English sources

Let e ∈ P be a fixed element.

Let z ∈ g-1 K) be a fixed element.

Let be a fixed element of.

Let be a fixed element, and.

Let (ein P) be a fixed element such that (eneqtheta).

Let x be a fixed element in C and let T be a nonexpansive mapping with a nonempty fixed point set.

Since is a fix element of, clearly there exists such that whenever.

The relationship between the notion of convergence and the product ⊙ is given by: (i) If f n → f as n → ∞ in A and ϕ ∈ B is any fixed element, then f n ⊙ ϕ → f ⊙ ϕ in A (as n → ∞ );   (ii) If f n → f as n → ∞ in A and ( δ n ) ∈ Δ, then f n ⊙ δ n → f in A (as n → ∞ ).  .

If f n → f as n → ∞ in A and ϕ ∈ B is any fixed element, then f n ⊙ ϕ → f ⊙ ϕ in A (as n → ∞ ); If f n → f as n → ∞ in A and ( δ n ) ∈ Δ, then f n ⊙ δ n → f in A (as n → ∞ ).

where is an arbitrary (but fixed) element in, and and are two sequences in It is proved, under certain appropriate assumptions on the sequences and that defined by (1.3) converges to a fixed point of (see [7]).

Assuming that the input matrix A and the direct employment coefficients are fixed, element j of the row vector π ′ L then provides the (extra) number of employed people used per (extra) dollar of final demand for product j.